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Finding the Fourth Proportional to 11,692.75, 16,139.84 and 9,307.10

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Solution

The fourth proportional to 11,692.75, 16,139.84 and 9,307.10 is: 12,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.75 : 16,139.84 = 9,307.10 : x
  2. Step 2: Convert to fraction form
    11,692.75/16,139.84 = 9,307.10/x
  3. Step 3: Cross multiply
    11,692.75x = 16,139.84 × 9,307.10
  4. Step 4: Simplify right side
    11,692.75x = 150,215,024.16
  5. Step 5: Solve for x
    x = 150,215,024.16/11,692.75
  6. Step 6: Final answer
    x = 12,846.85

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.